Controllability of quasi-linear Hamiltonian NLS equations |
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| Authors: | Pietro Baldi Emanuele Haus Riccardo Montalto |
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| Institution: | 1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 Napoli, Italy;2. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland |
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| Abstract: | We prove internal controllability in arbitrary time, for small data, for quasi-linear Hamiltonian NLS equations on the circle. We use a procedure of reduction to constant coefficients up to order zero and HUM method to prove the controllability of the linearized problem. Then we apply a Nash–Moser–Hörmander implicit function theorem as a black box. |
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| Keywords: | 35Q55 35Q93 |
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